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most citedPoisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

27 citations · 98 across the 43 of their papers we have counts for

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math.SG2013

Symplectic structures on the tangent bundle of a smooth manifold

Abouqateb Abdelhak, Mohamed Boucetta, Aziz Ikemakhen

We give a method to lift -tensors fields on a manifold to build symplectic forms on . Conversely, we show that any symplectic form $\Om$ on is symplectomorphic,…

math.SG2006★ 2 cited

Killing-Poisson tensors on Riemannian manifolds

M. Boucetta

We introduce a new class of Poisson structures on a Riemannian manifold. A Poisson structure in this class will be called a Killing-Poisson structure. The class of Killing-Poisson…

math.SG2005

Solutions of the classical Yang-Baxter equation and noncommutative deformations

M. Boucetta

In this paper, I will show that, if a Lie algebra $\G$ acts on a manifold , any solution of the classical Yang-Baxter equation on $\G$ gives arise to a Poisson tensor on and…